Séminaire Lotharingien de Combinatoire, B28h (1992).
[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 498/S-28, p.
123-128.]
Dennis Stanton
Specializations of Generalized Laguerre Polynomials
Abstract.
Three specializations of a set of orthogonal polynomials with
"8 different q's" are given. The polynomials are identified as
q-analogues of Laguerre polynomials, and the combinatorial
interpreation of the moments give infinitely many new
Mahonian statistics on permutations.
The paper has been finally published as a joint paper with Rodica Simion
under the same title in
SIAM J. Math. Anal. 25 (1994), 712-719.